Yevsyeyeva O. Theoretical bases of quality of service providing in the traffic control with use diakoptical and tensor models of telecommunication systems

Object - the processes of traffic control with quality of service in multiservice telecommunication systems (TCS). The purpose - improvement of quality of service in multiservice TCS. Methods - tensor calculus and analysis, diakoptics, differential geometry, differential-difference equations of state, theory of optimal and adaptive control, hierarchical theory of multilevel systems, optimization methods of operations research. The result is a set of new models and methods of traffic control with quality of service, which together form the theoretical basis of service quality in telecommunication systems. For the first time tensor model of multioperators telecommunications systems in basis circuits and cuts; the model with estimates of quality of service by end-user; the three-basis tensor model are proposed. For the first time diakoptical generalization of tensor models which allows to synthesize the appropriate method of control, which doesn't limit the scalability of the telecommunication network, but provides the desired quality of service, are proposed. A hierarchical traffic control methods with quality of service within reduces the amount iterations, which ensures the scalability of these methods, is proposed. Materials introduced in the scientific-research works: State. Reg. №0109U000662, №0108U004407, №0105U008521, №0108U010084, "Smuga-UMC-3" (Kharkiv State Regional Scientific-Technical Center for technical protection of information). Materials dissertation are used into the learning process of Kharkiv National University of Radio Electronics. Sphere of application - multiservice telecommunication systems and networks